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Finding the Fourth Proportional to 77,802.78, 116,674.77 and 25,198.14

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Solution

The fourth proportional to 77,802.78, 116,674.77 and 25,198.14 is: 37,787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,802.78 : 116,674.77 = 25,198.14 : x
  2. Step 2: Convert to fraction form
    77,802.78/116,674.77 = 25,198.14/x
  3. Step 3: Cross multiply
    77,802.78x = 116,674.77 × 25,198.14
  4. Step 4: Simplify right side
    77,802.78x = 2,939,987,188.93
  5. Step 5: Solve for x
    x = 2,939,987,188.93/77,802.78
  6. Step 6: Final answer
    x = 37,787.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.